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Simplifying 2(m + 3) = -1(8m + 4) Reorder the terms: 2(3 + m) = -1(8m + 4) (3 * 2 + m * 2) = -1(8m + 4) (6 + 2m) = -1(8m + 4) Reorder the terms: 6 + 2m = -1(4 + 8m) 6 + 2m = (4 * -1 + 8m * -1) 6 + 2m = (-4 + -8m) Solving 6 + 2m = -4 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 6 + 2m + 8m = -4 + -8m + 8m Combine like terms: 2m + 8m = 10m 6 + 10m = -4 + -8m + 8m Combine like terms: -8m + 8m = 0 6 + 10m = -4 + 0 6 + 10m = -4 Add '-6' to each side of the equation. 6 + -6 + 10m = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 10m = -4 + -6 10m = -4 + -6 Combine like terms: -4 + -6 = -10 10m = -10 Divide each side by '10'. m = -1 Simplifying m = -1
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